Open Access
October 2005 On a class of generalized difference sequence space definedby modulus function
Binod Chandra TRIPATHY, Sabita MAHANTA, Mikail ET
Hokkaido Math. J. 34(3): 667-677 (October 2005). DOI: 10.14492/hokmj/1285766291

Abstract

In this article we introduce the sequence space $m\left( f,\phi ,\Delta ^{n},p,q\right) ,$ $1\leq p<\infty ,$ using modulus functions. We study its different properties like completeness, solidity etc. Also we obtain some inclusion results involving the space $m\left( f,\phi ,\Delta ^{n},p,q\right) .

Citation

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Binod Chandra TRIPATHY. Sabita MAHANTA. Mikail ET. "On a class of generalized difference sequence space definedby modulus function." Hokkaido Math. J. 34 (3) 667 - 677, October 2005. https://doi.org/10.14492/hokmj/1285766291

Information

Published: October 2005
First available in Project Euclid: 29 September 2010

zbMATH: 1083.40005
MathSciNet: MR2186827
Digital Object Identifier: 10.14492/hokmj/1285766291

Subjects:
Primary: 40F05
Secondary: 40A05 , 40A25

Keywords: completeness , difference sequence space , modulus function , seminorm , solid space , Symmetric space

Rights: Copyright © 2005 Hokkaido University, Department of Mathematics

Vol.34 • No. 3 • October 2005
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